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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 122010.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 122010.h1 | 122010j1 | \([1, 1, 0, -2736577, -1743589259]\) | \(-19264544181973060489/17134387200\) | \(-2015843519692800\) | \([]\) | \(2663424\) | \(2.2360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122010.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122010.h do not have complex multiplication.Modular form 122010.2.a.h
sage: E.q_eigenform(10)